Nonperturbative renormalisation of composite operators with overlap quarks

Details Nonperturbative renormalisation of composite operators with overlap quarks Nonperturbative renormalisation of composite operators with overlap quarks

2003-11-21

arxiv.org/abs/hep-lat/0311030v2

Nucl.Phys.Proc.Suppl.128:240-247,2004

Physics

High Energy Physics

High Energy Physics - Lattice

Talk given at LHP2003, Cairns, Australia

Scientific paper

10.1016/S0920-5632(03)02484-8

We compute non-perturbatively the renormalisation constants of composite operators on a $16^3 \times 32 $ lattice with lattice spacing $a$ = 0.093 fm for the overlap fermion action by using the regularisation independent (RI) scheme. The quenched gauge configurations are generated by tadpole improved plaquette plus rectangle action. We test the perturbative continuum relation $Z_A = Z_V$ and $ Z_S=Z_P$ and find that they agree well above $\mu$ = 1.6 GeV. We also perform a Renormalisation Group analysis at the next-to-next-to-leading order and convert the renormalisation constants to the $\bar{MS}$ scheme.

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